Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
, t t is entered in radians. H t 1 0 cos 2 ? 1 5 0 t 1 0 H(t)=?10cos( 150 2? ? t)+10 When does Hyun Woo first reach a height of 1 6 m 16 m? Round your final answer to the nearest whole second.
<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>
<em>H(t) = -10 cos(2π/150 t)+10</em>
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<em>When does Hyun Woo first reach a height of 16 m?</em>
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<h2>Solution</h2>
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When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:
<em>16 = -10 cos(2π/150 t)+10</em>
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Then you must find the lowest positive value of t that is a solution of the equation.
So let the smaller integer be 2x+1 and the larger one be 2x+3. So 2x+1+2x+3 is 32. Simplifying, we get 4x+4=32. So subtracting 2 from both sides we get 4x+2=30. So dividing by 2 we get 2x+1=15. So 2x+3 is 17. So the numbers are 15 and 17
